S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, CMFD, 2024, Volume 70, Issue 1,Pages <nobr>173

On recovery of the solution to the Cauchy problem for the singular heat equation

S. M. Sitnik^a, M. V. Polovinkina^b, I. P. Polovinkin^ca

^a Belgorod State National Research University (BelGU), Belgorod, Russia
^b Voronezh State University of Engineering Technologies, Voronezh, Russia
^c Voronezh State University, Voronezh, Russia

Abstract: We present the results related to the solution of the problem of the best recovery of the solution to the Cauchy problem for the heat equation with the B-elliptic Laplace–Bessel operator in spatial variables from an exactly or approximately known finite set of temperature profiles.

Keywords: Laplace–Bessel operator, optimal recovery, Fourier–Bessel transform, heat equation, singular equation.

UDC: 517.444, 517.957.7, 517.951.9, 51-7

DOI: 10.22363/2413-3639-2024-70-1-173-187